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Finding the Third Proportional to 4,262 and 5,758

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Solution

The third proportional to 4,262 and 5,758 is: 7,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262 : 5,758 = 5,758 : x
  2. Step 2: Convert to fraction form
    4,262/5,758 = 5,758/x
  3. Step 3: Cross multiply
    4,262x = 5,758 × 5,758
  4. Step 4: Simplify right side
    4,262x = 33,154,564
  5. Step 5: Solve for x
    x = 33,154,564/4,262
  6. Step 6: Final answer
    x = 7,779.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.